Interesting Graph

Anyone who loves math try graphing this parametric curve:

$\left(t\left(\frac{\cos\left(10\log\left(t\right)+\sin\left(\log\left(t\right)\right)\right)}{2}\right),t\left(\frac{\cos\left(4\log\left(t\right)-\sin\left(\log\left(t\right)\right)\right)}{2}\right)\right)$

Can you find all the points where it self-intersects?

#Algebra

Easy Math Editor

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Comments

This produces an interesting one too:

$\left(t\left(\frac{\cos\left(10\log\left(t\right)+\sin\left(10\log\left(t\right)\right)\right)}{2}\right),t\left(\frac{\cos\left(4\log\left(t\right)-\sin\left(10\log\left(t\right)\right)\right)}{2}\right)\right)$

James Wilson - 5 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$